Differential equation and laplace transform, Mathematics

Assignment Help:

1. Solve the given differential equation, subject to the initial conditions:

. x2y''-3xy'+4y = 0

. y(1) = 5, y'(1) = 3

2. Find two linearly independent power series solutions for each differential equation about the ordinary point x=0

Y'' - xy' - (x+2)y=o

3. Use the definition of the Laplace Transform, to find

L{e-t cosht}

4. Find f(t) if : f(t)=L-1 

1050_maths.png

5. Solve : y'+y= f(t)

where: f(t) = { 1 if 0 ≤ t < 1

{-1 if t ≥ 1

Recall that if f(t) = { g(t) if 0 ≤ t < a

{ h(t) if t ≥ 1

Then f(t)=g(t)-g(t)u(t-a)+h(t)u(t-a)

6. y'(t) = cos t+

2074_maths1.png


Related Discussions:- Differential equation and laplace transform

Determine the position and nature of stationary points, Question. Deter...

Question. Determine the position and nature of stationary points of the function? f(x,y)= y/x -x 2 +y 2

Elimination, Eliment t from following equations v=u+at s=ut+1/2at^2

Eliment t from following equations v=u+at s=ut+1/2at^2

Bricklayer estimates 6.5 how many bricks will he required, A bricklayer est...

A bricklayer estimates that he requires 6.5 bricks per square foot. He needs to lay a patio that will be 110 square feet. How many bricks will he required? Multiply 6.5 by 110;

Speed, Town x and town y were 270km apart. a car started from town x toward...

Town x and town y were 270km apart. a car started from town x towards town y at a uniform speed of 60km/hr, while a motorcycle started from town y to town x at a uniform speed of 9

Hypothesis testing, Hypothesis Testing Definition of Hypothesis Testing...

Hypothesis Testing Definition of Hypothesis Testing - A hypothesis is a claim or an opinion about an issue or item.  Hence it has to be tested statistically in order to esta

Ratios....., if the ratio of boys to girls ism 3 to 5, then what percent of...

if the ratio of boys to girls ism 3 to 5, then what percent of the students are boys

Objective functions, For schedule consistency, you decide to require each o...

For schedule consistency, you decide to require each officer to report for their eight-hour shift at 12 AM, 4 AM, 8 AM, 12 PM, 4 PM, or 8 PM. As the Director of Public Safety, you

Example of binomial distribution, Example:  Joanne is given a four-question...

Example:  Joanne is given a four-question multiple-choice quiz.  She hasnt studied the material to be quizzed, so she decides to answer the questions by randomly guessing the answe

Derivative and differentiation, Derivative and Differentiation The pro...

Derivative and Differentiation The process of acquiring the derivative of a function or slope or gradient is referred to as differentiation or derivation. The derivative is de

Fact of the wronskian method, Given two functions f(x) and g(x) which are d...

Given two functions f(x) and g(x) which are differentiable on some interval I  (1) If W (f,g) (x 0 ) ≠ 0 for some x 0 in I, so f(x) and g(x) are linearly independent on the int

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd